It may happen to experience visual tiredness, especially when reading, during the first months; this happens because the eye is still adapting itself to the new focusing manner..
When using latest generation lasers, it is very rare to experience complications in this kind of surgery.
It is fundamental to do all the pre-op exams available, such as corneal topography and tomography exams, corneal pachymetry, pupillometry and, if needed, aberrometry. With these exams it is possible to spot the optimal candidates for this kind of surgery, and which patients show a higher risk of complications (in this case it is best to chose a different kind of surgery or give up).
Most frequent complications (but extremely rare) are related to an incomplete myopia correction: in this case it is possible to perform another laser surgery or go back to glasses and contact lenses.
A more serious complication could be an infection: this is why it is important to follow a strict hygiene protocol for the first few days after surgery, using antibiotic eyedrops (under medic prescription). In any case, your ophthalmologist will evaluate every single case in detail.